| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 509.92 KB | Adobe PDF |
Orientador(es)
Resumo(s)
We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. They show that the solutions of the fractional problems coincide with the solutions of the corresponding non-fractional variational problems when the order of the discrete derivatives is an integer value.
Descrição
Palavras-chave
Calculus of variations Euler-Lagrange equation Fractional difference calculus Fractional summation by parts Legendre necessary condition
Contexto Educativo
Citação
Editora
American Institute of Mathematical Sciences (AIMS)